Captain Grammar:

We know to a certain extent how naruto's demon was put into naruto, and we know that the nine-tails would die if naruto died, because 9-tails itself said so. What we don't know is "biological" relationship gaara has with the shukaku. I can't remember one instance where they said if gaara dies shukaku dies. Maybe its true, but its entirely possible that shukaku gets released upon gaaras death, or, just remains sealed within the body. We don't know, because no ones ever said anything about it, so you can't make that conclusion, or base any arguments on it.

Edit to Borg: Gaara lost. At this point, if bird girl wanted him dead, he'd be dead. That's complete and utter defeat.